SOLUTION: if sally can paint a house in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of them to paint the house together?

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Question 186660: if sally can paint a house in 4 hours, and john can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
Let x = hours it takes for both:
then
x(1/4 + 1/6) = 1
x/4 + x/6 = 1
6x + 4x = 24
10x = 24
x = 2.4 hours
or
2 hours and 24 minutes

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